Directed percolation with long-range interactions: Modeling nonequilibrium wetting

Year: 2005

Authors: Ginelli F., Hinrichsen H., Livi R., Mukamel D., Politi A.

Autors Affiliation: Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97974 Wurzburg, Germany; Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97974 Wurzburg, Germany; Ist Nazl Fis Mat, Unita Firenze, Florence, Italy; Univ Florence, Dipartimento Fis, Florence, Italy; Weizmann Inst Sci, Dept Phys Complex Syst, IL-76100 Rehovot, Israel; Ist Nazl Ott Applicata, Florence, Italy

Abstract: It is argued that some phase transitions observed in models of nonequilibrium wetting phenomena are related to contact processes with long-range interactions. This is investigated by introducing a model where the activation rate of a site at the edge of an inactive island of length l is 1+al(-sigma). Mean-field analysis and numerical simulations indicate that for sigma>1 the transition is continuous and belongs to the universality class of directed percolation, while for 0 < 1, the transition becomes first order. This criterion is then applied to discuss critical properties of various models of nonequilibrium wetting. Journal/Review: PHYSICAL REVIEW E

Volume: 71 (2)      Pages from: 26121-1  to: 26121-11

KeyWords: PHASE-TRANSITIONS; GROWTH-PROCESS; DIMENSIONS; CLUSTERS; LATTICE
DOI: 10.1103/PhysRevE.71.026121

Citations: 23
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